The Fourier Transform and its Applications

Stanford Course , Prof. Brad Osgood

174 students enrolled

Overview

Contents:
Fourier series - Periodicity; How Sine And Cosine Can Be Used To Model More Complex Functions - Analyzing General Periodic Phenomena As A Sum Of Simple Periodic Phenomena - Wrapping Up Fourier Series; Making Sense Of Infinite Sums And Convergence - Continued Discussion Of Fourier Series And The Heat Equation - Correction To Heat Equation Discussion - Review Of Fourier Transform (And Inverse) Definitions - Effect On Fourier Transform Of Shifting A Signal-Continuing Convolution: Review Of The Formula - Central Limit Theorem And Convolution; Main Idea - Correction To The End Of The CLT Proof-Cop Story - Setting Up The Fourier Transform Of A Distribution - Derivative Of A Distribution-Application Of The Fourier Transform: Diffraction: Setup